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20222026
most citedInfinitesimally helicoidal motions with fixed pitch of oriented geodesics of a space form

1 citations · 1 across the 7 of their papers we have counts for

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7 papers

math.DG2026

Almost complex totally geodesic surfaces in the nearly Kähler

Mateo Anarella, Xiuxiu Cheng, Marie D'haene +2

We give a detailed description of the nearly Kähler , which is one of the pseudo-Riemannian counterparts of the fla…

math.DG2025

Hypersurfaces of six-dimensional nearly Kähler manifolds

Mateo Anarella, Marie D'haene

In the context of six-dimensional homogeneous nearly Kähler manifolds, we prove that is the only ambient space admitting constant sectional curvature hypersurfaces. I…

math.DG2024

Isometry groups of nearly Kähler manifolds

Mateo Anarella, Michaël Liefsoens

Through the means of an alternative and less algebraic method, an explicit expression for the isometry groups of the six-dimensional homogeneous nearly Kähler manifolds is provided…

math.DG2024

Extrinsically homogeneous Lagrangian submanifolds of the pseudo-nearly Kähler

Mateo Anarella

We consider the pseudo-nearly Kähler and we study its Lagrangian submanifolds. We provide examples of Lagrangian submanif…

math.DG2024

A survey on submanifolds of nearly Kähler spaces

Mateo Anarella

In this survey, we give an introduction to nearly Kähler geometry, and list some results on submanifolds of these spaces. This survey tries by no means to be complete.

math.DG2023

Totally geodesic Lagrangian submanifolds of the pseudo-nearly Kähler

Mateo Anarella, Joeri Van der Veken

In this paper, we study Lagrangian submanifolds of the pseudo-nearly Kähler . First, we show that they split into four dif…

math.DG2022★ 1 cited

Infinitesimally helicoidal motions with fixed pitch of oriented geodesics of a space form

Mateo Anarella, Marcos Salvai

Let L be the manifold of all (unparametrized) oriented lines of R^3. We study the controllability of the control system in L given by the condition that a curve in L describes at e…